Answer:
Step-by-step explanation:
The given triangle is a right triangle, meaning it is a triangle with a right angle, this is indicated by the box around one of the angles. When given a right triangle, one can use the right triangle trigonometric ratios. These ratios describe the relationship between an angle in a right triangle, and the sides in a right triangle. Such ratios are as follows,
Bear in mind that the way one names the sides, in the sense of (opposite or adjacent) will change based on the angle one uses to describe the triangle. However, the hypotenuse is the same no matter the angle, as the hypotenuse is the side opposite the right angle.
In this case, one is given one of the angles, and the side opposite the angle. One is asked to find the hypotenuse of the triangle. One can use the sine (sin) ratio to achieve this.
Substitute,
Inverse operations,
Simplify,
Answer:
10w2+9w-2
10*w*2+(9*w)-2
10*3*2+(9*3)-2
60+27-2
=85
Step-by-step explanation:
These angles are adjacent which means they share a side and a vertex. Adjacent angles are also supplementary so the measure of the two angles add up to 180 degrees. Since angle 1 is 137 degrees, angle two is 43 degrees. I hope this explanation helps you.
X + 0.5y = 3
x^2 - y = 15
from the first equation:-
0.5y = 3 - x
y = 6 - 2x
Substitute for y in second equation:-
x^2 - (6 - 2x) = 15
x^2 + 2x - 21 = 0
x = [-2 +/- sqrt((4 - 4*-21)] / 2
= 3.6904 , -5.6904
Plugging in these into first equation we get
3.6904 + 0.5y = 3 so y = 2(3-3.6904) = -1.3808
-5.6904 + 0.5y = 3 so y = 2(3 + 5.6904) = 17.3808
Solution is x = 3.690, y = -1.381 ; x = -5.690, y = 17.38 ( to 4 s.f's)
There are 2 different pillows, 2 different sheets and 3 different comforters.
Multiply all the choices together to find all the combinations:
Total combinations: 2 x 2 x 3 = 12
There are 12 different combinations.
